Luis Valdez-Sanchez

Luis Valdez-Sanchez is an Associate Professor in the Department of Mathematical Sciences at the University of Texas at El Paso. His research focuses on low-dimensional topology, particularly in 3-manifolds and surgery on knots.

Education:

• Ph.D. in Mathematics, University of California, Berkeley (1995)
• M.A. in Mathematics, University of California, Berkeley (1993)
• B.S. (Honors) in Mathematics and Physics, University of Texas at El Paso (1987)

His work explores reducible and toroidal surgeries on hyperbolic knots, with significant contributions to understanding Seifert surfaces, Klein bottles in knot complements, and Dehn fillings. Collaborations include research with Enrique Ramirez of CIMAT.

Recent publications (up to 2018) span topics such as Seifert surfaces for hyperbolic knots, toroidal boundary slopes, cross-cap numbers, and tangle decompositions, reflecting a consistent focus on geometric and topological properties of 3-manifolds.